English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This work concerns the study of the subdifferential of the integralfunctional  $$  E_f(x)=\int_{T} f(t,x)d\mu(t),  $$ where $f$ is a (not necessarily convex) normal integrand,$({T},\mathcal{A},\mu)$ is a $\sigma$-finite measure space, while the decisionvariables vary in a separable Asplund space.  First, using techniques of variational analysis we establish sequentialapproximate formulae for the Fr\'echet subdifferential of $E_f$. Secondly, weintroduce a Lipschitz-like condition, which allows us to give anupper-estimation for the limiting subdifferential of $E_{f}$ even when thisfunctional is non-Lipschitz.

Sequential and exact formulae for the subdifferential of nonconvex integral functionals